Challenges with Differentiable Quantum Dynamics
Quantum Physics
2026-03-27 v2 Optimization and Control
Abstract
Differentiable quantum dynamics require automatic differentiation of a complex-valued initial value problem, which numerically integrates a system of ordinary differential equations from a specified initial condition, as well as the eigendecomposition of a matrix. We explored several automatic differentiation frameworks for these tasks, finding that no framework natively supports our application requirements. We therefore demonstrate a need for broader support of complex-valued, differentiable numerical integration in scientific computing libraries.
Cite
@article{arxiv.2406.06361,
title = {Challenges with Differentiable Quantum Dynamics},
author = {Sri Hari Krishna Narayanan and Michael Perlin and Robert Lewis-Swan and Jeffrey Larson and Matt Menickelly and Jan Hückelheim and Paul Hovland},
journal= {arXiv preprint arXiv:2406.06361},
year = {2026}
}